Discriminant coordinates analysis for multivariate functional data |
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Authors: | Zofia Hanusz Miros?aw Krzy?ko Rafa? Nadulski ?ukasz Waszak |
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Institution: | 1. Department of Applied Mathematics and Computer Science, University of Life Sciences, Lublin, Poland;2. zofia.hanusz@up.lublin.pl;4. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznan, Poland;5. Department of Food Machinery and Engineering, University of Life Sciences, Lublin, Poland |
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Abstract: | AbstractOne of the basic statistical methods of dimensionality reduction is analysis of discriminant coordinates given by Fisher (1936 Fisher, R. A. 1936. The use of multiple measurements in taxonomic problem. Annals of Eugenics 7 (2):179–88. doi:10.1111/j.1469-1809.1936.tb02137.x.Crossref] , Google Scholar]) and Rao (1948). The space of discriminant coordinates is a space convenient for presenting multidimensional data originating from multiple groups and for the use of various classification methods (methods of discriminant analysis). In the present paper, we adapt the classical discriminant coordinates analysis to multivariate functional data. The theory has been applied to analysis of textural properties of apples of six varieties, measured over a period of 180?days, stored in two types of refrigeration chamber. |
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Keywords: | Multivariate functional data multivariate analysis discriminant coordinates textural properties of apples |
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